Final answer:
To find 25% of the food bill, you can set up a proportion using the given information and solve for the missing value. In this case, 25% of the food bill is equal to $175.
Step-by-step explanation:
To find out how much 25% of the food bill is, we can set up a proportion using the given information and solve for the missing value. We know that 11% of the food bill is equal to $77. Let's represent the food bill as x.
So, 11% of x is $77:
0.11x = $77
To find 25% of the food bill, we can multiply the value of x by 25% (which is 0.25). Setting up another proportion:
0.11x / $77 = 0.25x / y, where y represents the amount we are looking for.
Cross multiplying, we get:
0.11 * y = 0.25 * $77
0.11 * y = $19.25
Dividing both sides of the equation by 0.11:
y = $175
Therefore, 25% of the food bill is $175.